Thebes of Boeotia is less known than Thebes of Egypt, but it is probably older. Its ruins are buried under the modern city (current town of Thiva). However, archaeological excavations have shown that it has been inhabited continuously for 5 millennia. It was an important Mycenaean city at the end of the Bronze Age. The citadel of the town had another designation: the Cadmee, a name derived from its mythical founder.
Writings in linear B, on potteries or on tablets, were exhumed in three different places of the ancient Thebes.
The designation "Thègaios" or "Thègans" was read. It is also found on tablets of Mycenae, Pylos and Knossos. Also Cynthia W. Shelmerdine of the University of Texas considers that this is the designation of the inhabitants of Thebes at that time.
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My notes of veracity :
Thebes of Boeotia was designated "Thègai" in linear B: 3/5